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Titlebook: Singularities of Mappings; The Local Behaviour David Mond,Juan J. Nuño-Ballesteros Book 2020 Springer Nature Switzerland AG 2020 singulari

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书目名称Singularities of Mappings
副标题The Local Behaviour
编辑David Mond,Juan J. Nuño-Ballesteros
视频videohttp://file.papertrans.cn/868/867939/867939.mp4
概述Provides a self-contained introduction to the theory of singularities of mappings and ends at the frontier of current research.Includes hundreds of exercises, with many designed to help master techniq
丛书名称Grundlehren der mathematischen Wissenschaften
图书封面Titlebook: Singularities of Mappings; The Local Behaviour  David Mond,Juan J. Nuño-Ballesteros Book 2020 Springer Nature Switzerland AG 2020 singulari
描述.The first monograph on singularities of mappings for many years, this book provides an introduction to the subject and an account of recent developments concerning the local structure of complex analytic mappings..Part I of the book develops the now classical real C.∞. and complex analytic theories jointly. Standard topics such as stability, deformation theory and finite determinacy, are covered in this part. In Part II of the book, the authors focus on the complex case. The treatment is centred around the idea of the "nearby stable object" associated to an unstable map-germ, which includes in particular the images and discriminants of stable perturbations of unstable singularities. This part includes recent research results, bringing the reader up to date on the topic..By focusing on singularities of mappings, rather than spaces, this book provides a necessary addition to the literature. Many examples and exercises, as well as appendices on background material,make it an invaluable guide for graduate students and a key reference for researchers. A number of graduate level courses on singularities of mappings could be based on the material it contains..
出版日期Book 2020
关键词singularity theory; Multiplicity; Milnor-Tjurina relation; vanishing homology; left-right equivalence; Fi
版次1
doihttps://doi.org/10.1007/978-3-030-34440-5
isbn_softcover978-3-030-34442-9
isbn_ebook978-3-030-34440-5Series ISSN 0072-7830 Series E-ISSN 2196-9701
issn_series 0072-7830
copyrightSpringer Nature Switzerland AG 2020
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Multiple Pointsmultiple point spaces are isolated complete intersection singularities, which are smooth when the germ is stable. We develop and render concrete an alternative description of multiple point spaces due originally to Kleiman and Laksov.
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Singularities of Mappings978-3-030-34440-5Series ISSN 0072-7830 Series E-ISSN 2196-9701
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Introduction,We give an overview of the subject and the book.
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